This feedback mechanism is believed to be able to explain the complexity of real-world systems for which one often observes bi-directional feedback between the state of the environment and the incentives associated to each strategy [1]}. Interactions of this kind can be found in a wide range of disciplines, including sociology, economics and animal behaviour [2]}, [3]}, [4]}, [5]}. An example of this in human systems is the individuals' decision to vaccinate or not, which would result in otherwise-preventable infectious diseases in children and then an increasing incentive to vaccinate [6]}, [7]}, [8]}. In ecology, an example can be found in plant nutrient acquisition where the competitive balance between the interactions of different species and the availability of environmental resources alter the nature of the competitive process of nitrogen fixation [9]}. Another example is in the context of collective decision-making in honeybees where an initial attempt to incorporate game-environment feedback within the parameters of the model has been proposed [10]}, giving rise to oscillations.
